SOLUTION: Jayanta is raising money for the homeless, and discovers each church group requires 2 hr of letter writing and 1 hr of follow-up calls, while each labor union needs 2 hr of l
Algebra ->
Customizable Word Problem Solvers
-> Misc
-> SOLUTION: Jayanta is raising money for the homeless, and discovers each church group requires 2 hr of letter writing and 1 hr of follow-up calls, while each labor union needs 2 hr of l
Log On
Question 1142275: Jayanta is raising money for the homeless, and discovers each church group requires 2 hr of letter writing and 1 hr of follow-up calls, while each labor union needs 2 hr of letter writing and 3 hr of follow-up. She can raise $100 from each church group and $200 from each union. She has a maximum of 20 hours of letter writing and 12 hours of follow-up available each month. Determine the most profitable mixture of groups she should contact and the most money she can raise in a month. Answer by greenestamps(13216) (Show Source):
Let x be the number of church groups and y be the number of labor unions. Then
(1) write the constraint inequalities , she has a maximum of 20 hours of letter writing time she has a maximum of 12 hours of time for follow-up calls
(2) graph the constraint inequalities to find the feasibility region. You should get (0,0), (0,4), (9,1) and (10,0) as the corners of the feasibility region.
(3) determine the amount of money she raises at each corner of the feasibility region.
